Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8758/918, 6853/727 quickly i.e. 60018574 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8758/918, 6853/727 is 60018574.
LCM(8758/918, 6853/727) = 60018574
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8758/918,6853/727
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 8758,6853
Least Common Multiple of Numerators i.e. LCM of 8758,6853 is 60018574.
GCF of Denominators means GCF of 918,727 as per the given fractions.
GCF of 918,727 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8758,6853
Given numbers has no common factors except 1. So, there LCM is their product i.e 60018574
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 8758,6853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8758,6853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8758,6853) x common factors =1 x 1 = 1
LCM(8758,6853) = ( 8758 × 6853 ) / 1
LCM(8758,6853) = 60018574 / 1
LCM(8758,6853) = 60018574
Lets's calculate GCF of 918,727
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60018574/1
Therefore the LCM of Fractions 8758/918,6853/727 is 60018574
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 727
List of positive integer factors of 727 that divides 727 without a remainder.
1,727
Greatest Common Factor
We found the factors 918,727 . The biggest common factor number is the GCF number.
So the greatest common factor 918,727 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 8758/918, 6853/727?
Answer: LCM of Numerators as per given numbers 8758/918, 6853/727 is
LCM of Numerators i.e. for 8758,6853 is 60018574
GCF of denominators i.e. for 918,727 is 1.
Thus, LCM of Fractions is 60018574.Finally, LCM of Fractions for 8758/918, 6853/727 is 60018574.